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" If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is... "
Euclid - Page 126
by Euclid, Rupert Deakin - 1903 - 164 pages
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Papers for the Schoolmaster, Volume 2

1852 - 316 pages
...squares described upon the sides which contain the right angle. 11. If a straight line bo bisected and produced to any point ; the rectangle contained by the whole line thus produced, together with the square of half the line bisected, is equal to the square of the straight line which...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...contained by their sum and difference.] BOOK n. PROP. VI. THEOR. If a straight line be bisected, and produced to any point: the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is eqaul to the square of the straight...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...contained by theif sum and difference. PROP. VI. — THEOREM. If a. straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of tfie...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...was to be proved. PEOP. VI. THEOE. If a straight line be bisected, and produced to any point : then the rectangle contained by the whole line thus produced and the part of it produced, together with the square of half the bisected line, shall be equal to the square of...
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Solutions of the problems and riders proposed in the Senate-house ...

Cambridge univ, exam. papers - 1854 - 284 pages
...shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. In Euclid's figure, the rectangle contained...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. In Euclid's figure, the rectangle contained...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...difference of the hypotenuse and the other leg. PEOP. VI. THEOBEM ya ttraight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...of it; the angle contained by these two sides is a right angle. 5. If a right line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the right...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...equal to the rectangle contained by their sum and difference. LI. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of half the line bisected, is equal to the square of the line...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...bisect each other is a parallelogram. BOOK II. 7. PROP. VI. — If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight...
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